Answered: (a) Given z = x + jy determine if f (z)…

(a) Given z = x + jy determine if f (z) = z4 is analytic.(b) On an Argand Diagram sketch the region |z| < 1.(c) Map the region |z| < 1 into the function plane f (z) = U + jV , defined as f (z) = z4.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

(a) Given z = x + jy determine if f (z) = z4 is analytic.
(b) On an Argand Diagram sketch the region |z| < 1.
(c) Map the region |z| < 1 into the function plane f (z) = U + jV , defined as f (z) = z⁴.

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